Extension of separately analytic functions and applications to mathematical tomography : characterizing the range of the exponential Radon transform

Sammanfattning: The principal problem that is dealt with in the thesis is to characterize the range of the exponential Radon transform for both constant attenuation and angle dependent attenuation (in the latter case we assume that the attenuation is a trigonometric polynomial). Such results are also of interest in applications such as ECT (Emission Computed Tomography). The results depend on extension properties of separately analytic functions with singularities in several complex variables.